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arXiv 1602.02590math.NAcs.NAmath.APphysics.comp-ph
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Kershaw闭合用于 slab 几何中线性传输方程 II:高阶保持可实现性 discontinuous-Galerkin 方程方案

Kershaw closures for linear transport equations in slab geometry II: high-order realizability-preserving discontinuous-Galerkin schemes

TU Kaiserslautern(凯泽斯劳滕工业大学)

Florian Schneider

AI总结:

本文将基于四面体的最小熵模型的可实现性保持 discontinuous-Galerkin 方案推广到任意阶的全矩模型,应用于 Kershaw 闭合,从而高效求解线性传输方程,通过数值收敛测试和非光滑基准问题验证高阶方法效率。

摘要:

本文提供了基于四面体的最小熵模型的可实现性保持 discontinuous-Galerkin 方案的推广,应用于任意阶的全矩模型。该方法应用于 Kershaw 闭合,能够提供低成本的矩问题闭合。这导致了线性传输方程的高效算法。通过数值收敛测试和非光滑基准问题验证了高阶方法的效率。

英文摘要:

This paper provides a generalization of the realizability-preserving discontinuous-Galerkin scheme for quadrature-based minimum-entropy models to full-moment models of arbitrary order. It is applied to the class of Kershaw closures, which are able to provide a cheap closure of the moment problem. This results in an efficient algorithm for the underlying linear transport equation. The efficiency of high-order methods is demonstrated using numerical convergence tests and non-smooth benchmark problems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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